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What is the smaller angle between the minute and hour hands at 12:46 AM? Â
To do: Find the smaller angle between the minute and hour hand at 12:46 AM
Solution:
In 12 hours the hour hand will complete 360 degree. In 12: 46 min it will turn by
$\frac{12 + \frac{46}{60}}{12} \times 360 = 383*$
In 1 hour , the minute hand will turn by 360 degree, in 46 min it will turn by
$\frac{46}{60} \times360 = 276*$
The difference between them is $383 - 276 = 107$
At 12:46 AM the smaller angle between the minute and hour hands is 107*
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